A new approach of computing Floquet transition matrix

被引：15

作者：

Cai, ZQ ^{[1
]}

Gu, YX ^{[1
]}

Zhong, WX ^{[1
]}

机构：

[1] Dalian Univ Technol, Res Inst Engn Mech, Dalian 116024, Peoples R China

来源：

COMPUTERS & STRUCTURES | 2001年 / 79卷 / 06期

基金：

中国国家自然科学基金;

关键词：

precise integration; ordinary differential equations with periodic coefficients; floguet transition matrix; stability problem;

D O I：

10.1016/S0045-7949(00)00169-3

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A numerical solution based on the precise integration method is presented for computing the Floquet transition matrix (FTM), and dealing with the stability of the periodic system. The numerical properties of this solution are illustrated by comparing the numerical results and efficiency of two methods: (1) Hamming's predictor-corrector, (2) Runge-Kutta. It is concluded that the precise integration method in single-pass is the most efficient, economical and viable. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：631 / 635

页数：5

共 6 条

[1] A NOTE ON THE ASYMPTOTIC STABILITY OF PERIODIC-SOLUTIONS OF AUTONOMOUS DIFFERENTIAL-EQUATIONS [J].

DEKLEINE, HA .

SIAM REVIEW, 1984, 26 (03) :417-421

[2]

EARL A., 1955, THEORY ORDINARY DIFF

[3] EFFICIENT NUMERICAL TREATMENT OF PERIODIC SYSTEMS WITH APPLICATION TO STABILITY PROBLEMS [J].

FRIEDMANN, P ;

HAMMOND, CE ;

WOO, TH .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1977, 11 (07) :1117-1136

[4]

Gaonkar G. H, 1981, J AM HELICOPTER SOC, V26, P56

[5] APPROXIMATING A GENERAL LINEAR PERIODIC SYSTEM [J].

HSU, CS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 45 (01) :234-251

[6]

ZHONG WX, 1994, P WCCM 3, V1, P12

← 1 →